Given that the hypotenuse of this right triangle is 25 cm long and that tan(Θ) = 3 Find the values of x and y, accurate to the n earest tenth. A) x ≈ 7.9; y ≈ 23.7 B) x ≈ 23.7; y ≈ 7.9 C) x ≈ 7.9; y ≈ 26.4 D) x ≈ 26.4; y ≈ 79.1
2 answers:
Answer:
Step-by-step explanation:
The right triangle above you can use SOHCAHTOA and determine that tanθ =
y
x
. Replacing tanθ with 3 you get
3 =
y
x
3x = y
Then use the Pythagorean Theorem to
x2 + y2 = 252. Replace y with 3x
x2 + 9x2 = 625
10x2 = 625
x2 =
625
10
x =
25
10
= 7.9
Since,
y = 3x
y = 3(7.9) = 23.7
x ≈ 7.9; y ≈ 23.7
The wording of this problem indicates that there was an illustration. Could you possibly share that illustration? Working without an illustration: If tan theta = 3, then tan theta = opp/adj = 3/1. This tells us that the opp side is 3 times as long as is the adj. side. Let x be the shorter side, i. e., let x represent the adjacent side; then y is the longer side and represents the opposite side. Then y = 3x (the opp side is 3x the adj side in length). Applying the Pyth. Thm. a^2 + b^2 = c^2, x^2 + (3x)^2 = hyp^2 = (25 cm.)^2 So x^2 + 9x^2 = (625 cm^2) 10x^2 = 625 cm^2, or x^2 = (625 cm^2) / 10 = 62.5 cm^2 x = 7.91 cm. Therefore, y = 3(7.91) = 23.72 cm. We were supposed to round off these answers to the nearest 10th cm. Therefore, x = 7.9 cm and y = 23.7 cm Would that be A, B, C or D?
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Answer:
Step-by-step explanation:
Let x be the number
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Answer:
<em>well non of the answer choices are exact but i would say a/the first one. im not sure but they should add up to about 7.65%. </em>
Step-by-step explanation:
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